Exact Solutions in Structured Low-Rank Approximation

Published 11 Nov 2013 in math.OC, cs.SC, math.AG, and stat.CO | (1311.2376v3)

Abstract: Structured low-rank approximation is the problem of minimizing a weighted Frobenius distance to a given matrix among all matrices of fixed rank in a linear space of matrices. We study exact solutions to this problem by way of computational algebraic geometry. A particular focus lies on Hankel matrices, Sylvester matrices and generic linear spaces.

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